Highrate spacetime block codes from twisted Laurent series rings
Pages: 255  275,
Issue 3,
August
2015
doi:10.3934/amc.2015.9.255 Abstract
References
Full text (508.1K)
Related Articles
Hassan Khodaiemehr  Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15914, Iran (email)
Dariush Kiani  Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave., Tehran 15914, Iran (email)
1 
P. M. Cohn, Introduction to Ring Theory, SpringerVerlag, London, 2000. 

2 
M. Daberkow, C. Fieker, J. Klüners, M. Pohst, K. Roegner and K. Wildanger, KANT V4, J. Symbolic Comp., 24 (1997), 267283. 

3 
M. O. Damen, K. AbedMerriam and J. C. Belfiore, Generalized sphere decoder for asymmetrical spacetime communication architecture, IEEE Electron. Lett., 36 (2000), 1620. 

4 
M. O. Damen, A. Chkeif and J. C. Belfiore, Lattice code decoder for spacetime codes, IEEE Commun. Lett., 4 (2000), 161163. 

5 
M. O. Damen, A. Tewfik and J. C. Belfiore, A construction of a spacetime code based on number theory, IEEE Trans. Inf. Theory, 48 (2002), 753760. 

6 
P. K. Draxl, Skew Fields, Cambridge Univ. Press, Cambridge, 1983. 

7 
U. Fincke and M. Pohst, Improved methods for calculating vectors of short length in a lattice, including a complexity analysis, Math. Comput., 44 (1985), 463471. 

8 
G. J. Foschini, Layered spacetime architecture for wireless communications in a fading environment when using multielement antennas, Bell Labs. Tech. J., 1 (1996), 4159. 

9 
G. J. Foschini and M. Gans, On the limits of wireless communication in a fading environment when using multiple antennas, Wireless Personal Commun., 6 (1998), 311335. 

10 
J. C. Guey, M. P. Fitz, M. R. Bell and W. Y. Kuo, Signal design for transmitter diversity wireless communication systems over Rayleigh fading channels, IEEE Trans. Commun., 47 (1999), 527537. 

11 
T. Hanke, An explicit example of a noncrossed product division algebra, Math. Nachr., 271 (2004), 5168. 

12 
T. Hanke, A twisted Laurent series ring that is a noncrossed product, Israel J. Math., 150 (2005), 199204. 

13 
B. Hassibi and B. Hochwald, Highrate codes that are linear in space and time, IEEE Trans. Inf. Theory, 48 (2002), 18041824. 

14 
B. Hassibi and H. Vikalo, On the expected complexity of sphere decoding, in 35th Asilomar Conf. Sign. Syst. Comp., Pacific Grove, 2001, 10511055. 

15 
I. N. Herstein, NonCommutative Rings, Math. Assoc. Amer., Washington, 1968. 

16 
B. M. Hochwald and S. T. Brink, Achieving nearcapacity on a multipleantenna channel, IEEE Trans. Commun., 51 (2003), 389399. 

17 
T. W. Hungerford, Algebra, 3 edition, SpringerVerlag, Washington, 1980. 

18 
N. Jacobson, Basic Algebra I, 2nd edition, Freeman, New York, 1985. 

19 
T. Y. Lam, A First Course in Noncommutative Rings, SpringerVerlag, New York, 1991. 

20 
P. J. McCarthy, Algebraic Extensions of Filelds, Dover Publications Inc., New York. 

21 
J. Neukirch, Algebraische Zahlentheorie, SpringerVerlag, Berlin, 1992. 

22 
R. S. Pierce, Associative Algebras, SpringerVerlag, Berlin, 1982. 

23 
B. A. Sethuraman and B. S. Rajan, An algebraic description of orthogonal designs and the uniqueness of the Alamouti code, in Proc. IEEE GLOBECOM (2002), Taipai, 2002, 10881092. 

24 
B. A. Sethuraman and B. S. Rajan, Optimal STBC over PSK signal sets from cyclotomic field extensions, in Proc. IEEE Int. Conf. Commun. (ICC 2002), New York, 2002, 17831787. 

25 
B. A. Sethuraman and B. S. Rajan, STBC from field extensions of the rational field, in Proc. IEEE Int. Symp. Inf. Theory (ISIT 2002), Lausanne, 2002, p. 274. 

26 
B. A. Sethuraman, B. S. Rajan and V. Shashidhar, Fulldiversity, highrate spacetime block codes from division algebras, IEEE Trans. Inf. Theory, 49 (2003), 25962616. 

27 
V. Shashidhar, HighRate and InformationLossless SpaceTime Block Codes from CrossedProduct Algebras, Ph.D thesis, Indian Institute of Science, Bangalore, 2004. 

28 
V. Shashidhar, B. S. Rajan and B. A. Sethuraman, STBCs using capacity achieving designs from cyclic division Algebras, in Proc. IEEE GLOBECOM (2003), San Francisco, 2003, 19571962. 

29 
V. Shashidhar, B. S. Rajan and B. A. Sethuraman, Information lossless STBCs from crossedproduct algebras, IEEE Trans. Inf. Theory, 52 (2006), 39133935. 

30 
V. Shashidhar, K. Subrahmanyam, R. Chandrasekharan, B. S. Rajan and B. A. Sethuraman, Highrate, fulldiversity STBCs from field extensions, in Proc. IEEE Int. Symp. Inf. Theory (ISIT 2003), Yokohama, 2003, p. 126. 

31 
V. Tarokh, N. Seshadri and A. R. Calderbank, Spacetime codes for high data rate wireless communication: Performance criterion and code construction, IEEE Trans. Inf. Theory, 44 (1998), 744765. 

32 
E. Telatar, Capacity of multiantenna Gaussian channels, Europ. Trans. Telecommun., 10 (1999), 585595. 

33 
J. P. Tignol, Generalized crossed products, in Séminaire Mathématique (nouvelle série), UniversitéCatholique de Louvain, Belgium, 1987. 

34 
E. Viterbo and J. Boutros, A universal lattice code decoder for fading channel, IEEE Trans. Inf. Theory, 45 (1999), 16391642. 

Go to top
